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10323369 = 3672172
BaseRepresentation
bin100111011000…
…010110101001
3201102111000000
4213120112221
510120321434
61005133213
7153514200
oct47302651
921374000
1010323369
115911111
12355a209
1321a5b04
14152a237
15d8db99
hex9d85a9

10323369 has 63 divisors (see below), whose sum is σ = 19126407. Its totient is φ = 5552064.

The previous prime is 10323347. The next prime is 10323371. The reversal of 10323369 is 96332301.

The square root of 10323369 is 3213.

It is a perfect power (a square), and thus also a powerful number.

10323369 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8037225 + 2286144 = 2835^2 + 1512^2 .

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 10323369 - 25 = 10323337 is a prime.

It is a super-2 number, since 2×103233692 = 213143895020322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

10323369 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (10323169) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 607249 + ... + 607265.

Almost surely, 210323369 is an apocalyptic number.

10323369 is the 3213-rd square number.

10323369 is the 1607-th centered octagonal number.

It is an amenable number.

10323369 is a deficient number, since it is larger than the sum of its proper divisors (8803038).

10323369 is an frugal number, since it uses more digits than its factorization.

10323369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The cubic root of 10323369 is about 217.7411356530.

Multiplying 10323369 by its product of nonzero digits (2916), we get a square (30102944004 = 1735022).

The spelling of 10323369 in words is "ten million, three hundred twenty-three thousand, three hundred sixty-nine".

Divisors: 1 3 7 9 17 21 27 49 51 63 81 119 147 153 189 243 289 357 441 459 567 729 833 867 1071 1323 1377 1701 2023 2499 2601 3213 3969 4131 5103 6069 7497 7803 9639 11907 12393 14161 18207 22491 23409 28917 35721 42483 54621 67473 70227 86751 127449 163863 202419 210681 382347 491589 607257 1147041 1474767 3441123 10323369